Greatest Common Factor of 909/148, 4965/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 909/148, 4965/580

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 909/148,4965/580

Given fractions are 909/148,4965/580

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 909,4965

Greatest Common Factor of Numerators i.e. GCF of 909,4965 is 3 .

LCM of Denominators means LCM of 148,580 as per the given fractions.

LCM of 148,580 is 21460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 909,4965

GCF of Fractions 909/148,4965/580 is 3/21460

3 909, 4965
303, 1655

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 909,4965 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,4965 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1,3,5,15,331,993,1655,4965

Greatest Common Factor

We found the factors 909,4965 . The biggest common factor number is the GCF number.
So the greatest common factor 909,4965 is 3.

Lets's calculate LCM of 148,580

2 148, 580
2 74, 290
37, 145

∴ So the LCM of the given numbers is 2 x 2 x 37 x 145 = 21460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21460

Therefore, the GCF of Fractions 909/148,4965/580 is 3/21460

Least Common Multiple of 148,580 with GCF Formula

Least Common Multiple of 148,580 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 148,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,580) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(148,580) x common factors =4 x 1 = 4

LCM(148,580) = ( 148 × 580 ) / 4

LCM(148,580) = 85840 / 4

LCM(148,580) = 21460


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 909/148, 4965/580

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 909/148, 4965/580?

Answer: GCF of Numerators as per given numbers 909/148, 4965/580 is

GCF of Numerators i.e. for 909,4965 is 3

LCM of denominators i.e. for 148,580 is 21460.

Thus, GCF of Fractions is 3/21460.Finally, GCF of Fractions for 909/148, 4965/580 is 3/21460.